NIST Digital Library of Mathematical Functions
Preview Release
This is a preview of the Digital Library of Mathematical Functions. Not all of the content is present, nor has all of the intended functionality been implemented. Given those limitations, we welcome feedback about the current status, so that we can improve the final result. Note that citations to specific items (such as figures or equations) should be deferred until final release, as it is still possible that these may change. Please consult About the Project for more information.
- 1 Algebraic and Analytic Methods
- 2 Asymptotic Approximations
- 3 Numerical Methods
- 4 Elementary Functions
- 5 Gamma Function
- 6 Exponential, Logarithmic, Sine and Cosine Integrals
- 7 Error Functions, Dawson's Integral, and Fresnel Integrals
- 8 Incomplete Gamma and Related Functions
- 9 Airy & Related Functions
- 10 Bessel Functions
- 11 Struve and Related Functions
- 12 Parabolic Cylinder Functions
- 13 Confluent Hypergeometric Functions
- 14 Legendre Functions
- 15 Hypergeometric Function
- 16 Generalized Hypergeometric Functions
- 17 q-Hypergeometric Functions
- 18 Orthogonal Polynomials
- 19 Elliptic Integrals
- 20 Theta Functions
- 21 Multidimensional Theta Functions
- 22 Jacobian Elliptic Functions
- 23 Weierstrass Elliptic Functions
- 24 Bernoulli and Euler Polynomials
- 25 Zeta and Related Functions
- 26 Combinatorial Analysis
- 27 Functions of Number Theory
- 28 Mathieu Functions and Hill's Equation
- 29 Lamé Functions
- 30 Spheroidal Wave Functions
- 31 Heun Functions
- 32 Painlevé Transcendents
- 33 Coulomb Wave Functions
- 34 3j, 6j, 9j Symbols
- 35 Functions of Matrix Argument
- 36 Integrals with Coalescing Saddles
- 37 Computer Algebra
- 38 Statistical Methods & Distributions
- Bibliography
- Index
- Notations
- Software